Solve 2x/9+1/3=-1/6

$$\frac { 2 x } { 9 } + \frac { 1 } { 3 } = - \frac { 1 } { 6 }$$

Solve for x

$$x = -\frac{9}{4} = -2\frac{1}{4} = -2.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 9,3,6.

$$2\times 2x+6=-3$$

Multiply 2 and 2 to get 4.

$$4x+6=-3$$

Subtract 6 from both sides.

$$4x=-3-6$$

Subtract 6 from -3 to get -9.

$$4x=-9$$

Divide both sides by 4.

$$x=\frac{-9}{4}$$

Fraction \frac{-9}{4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

$$x=-\frac{9}{4}$$